The \(n\) -point correlation function \(S_n^{(i)}\)  for phase \(i\)  is defined as [1]}
\(S_n^{(i)}(\mathbf {x}_1,\mathbf {x}_2,...,\mathbf {x}_n) = \left\langle \prod _{i=1}^n \mathcal {I}^{(i)}(\mathbf {x}_i) \right\rangle ,\) 
